The Bloch point 3D topological charge induced by the magnetostatic interaction
Abstract A hedgehog or Bloch point is a point-like 3D magnetization configuration in a ferromagnet. Regardless of widely spread treatment of a Bloch point as a topological defect, its 3D topological charge has never been calculated. Here, applying the concepts of the emergent magnetic field and Dira...
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Nature Portfolio
2021
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oai:doaj.org-article:495b25e7ff24403ba7d05228c264d13f2021-11-08T10:53:11ZThe Bloch point 3D topological charge induced by the magnetostatic interaction10.1038/s41598-021-01175-92045-2322https://doaj.org/article/495b25e7ff24403ba7d05228c264d13f2021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-01175-9https://doaj.org/toc/2045-2322Abstract A hedgehog or Bloch point is a point-like 3D magnetization configuration in a ferromagnet. Regardless of widely spread treatment of a Bloch point as a topological defect, its 3D topological charge has never been calculated. Here, applying the concepts of the emergent magnetic field and Dirac string, we calculate the 3D topological charge (Hopf index) of a Bloch point and show that due to the magnetostatic energy contribution it has a finite, non-integer value. Thus, Bloch points form a new class of hopfions—3D topological magnetization configurations. The calculated Bloch point non-zero gyrovector leads to important dynamical consequences such as the appearance of topological Hall effect.F. TejoR. Hernández HerederoO. Chubykalo-FesenkoK. Y. GuslienkoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021) |
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Medicine R Science Q F. Tejo R. Hernández Heredero O. Chubykalo-Fesenko K. Y. Guslienko The Bloch point 3D topological charge induced by the magnetostatic interaction |
description |
Abstract A hedgehog or Bloch point is a point-like 3D magnetization configuration in a ferromagnet. Regardless of widely spread treatment of a Bloch point as a topological defect, its 3D topological charge has never been calculated. Here, applying the concepts of the emergent magnetic field and Dirac string, we calculate the 3D topological charge (Hopf index) of a Bloch point and show that due to the magnetostatic energy contribution it has a finite, non-integer value. Thus, Bloch points form a new class of hopfions—3D topological magnetization configurations. The calculated Bloch point non-zero gyrovector leads to important dynamical consequences such as the appearance of topological Hall effect. |
format |
article |
author |
F. Tejo R. Hernández Heredero O. Chubykalo-Fesenko K. Y. Guslienko |
author_facet |
F. Tejo R. Hernández Heredero O. Chubykalo-Fesenko K. Y. Guslienko |
author_sort |
F. Tejo |
title |
The Bloch point 3D topological charge induced by the magnetostatic interaction |
title_short |
The Bloch point 3D topological charge induced by the magnetostatic interaction |
title_full |
The Bloch point 3D topological charge induced by the magnetostatic interaction |
title_fullStr |
The Bloch point 3D topological charge induced by the magnetostatic interaction |
title_full_unstemmed |
The Bloch point 3D topological charge induced by the magnetostatic interaction |
title_sort |
bloch point 3d topological charge induced by the magnetostatic interaction |
publisher |
Nature Portfolio |
publishDate |
2021 |
url |
https://doaj.org/article/495b25e7ff24403ba7d05228c264d13f |
work_keys_str_mv |
AT ftejo theblochpoint3dtopologicalchargeinducedbythemagnetostaticinteraction AT rhernandezheredero theblochpoint3dtopologicalchargeinducedbythemagnetostaticinteraction AT ochubykalofesenko theblochpoint3dtopologicalchargeinducedbythemagnetostaticinteraction AT kyguslienko theblochpoint3dtopologicalchargeinducedbythemagnetostaticinteraction AT ftejo blochpoint3dtopologicalchargeinducedbythemagnetostaticinteraction AT rhernandezheredero blochpoint3dtopologicalchargeinducedbythemagnetostaticinteraction AT ochubykalofesenko blochpoint3dtopologicalchargeinducedbythemagnetostaticinteraction AT kyguslienko blochpoint3dtopologicalchargeinducedbythemagnetostaticinteraction |
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